{"id":"W1999675502","doi":"10.1080/00927872.2012.674589","title":"Good Gradings of Generalized Incidence Rings","year":2013,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Memorial University of Newfoundland; University of Colorado Colorado Springs; Truman State University","keywords":"Mathematics; Incidence (geometry); Pure mathematics; Algebra over a field; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004203573,0.0001468254,0.0003016092,0.0001874204,0.0001165227,0.00004124567,0.001584604,0.00008409555,0.0001875606],"category_scores_gemma":[0.0005312954,0.0001464575,0.0000820607,0.0003945941,0.0002741448,0.0003145151,0.0005584443,0.0002625903,0.0001094575],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006013811,"about_ca_system_score_gemma":0.00003872547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000505844,"about_ca_topic_score_gemma":0.0001569139,"domain_scores_codex":[0.9986884,0.0001347809,0.0005832965,0.0001844274,0.0001797313,0.0002293408],"domain_scores_gemma":[0.9967495,0.0005518558,0.0002526635,0.002245546,0.0001384824,0.00006193081],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000002064032,0.0002357151,0.01484494,0.00005605596,0.00002137409,4.033258e-7,0.001492678,0.000001065982,0.003270277,0.9753477,0.001980195,0.002747532],"study_design_scores_gemma":[0.0004795829,0.00002294323,0.02357341,0.0001718175,0.00001900909,0.000007277735,0.0002491913,0.0007374875,0.004457612,0.9683069,0.001749217,0.0002255372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9880697,0.0006961307,0.0005658465,0.001319131,0.00005133969,0.0003786308,0.000002514621,0.00008781809,0.008828861],"genre_scores_gemma":[0.9185158,0.000438286,0.08028159,0.0001276622,0.00001842286,0.0001451806,0.00000721326,0.00002645589,0.0004393718],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07971575,"threshold_uncertainty_score":0.5972364,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06465551993101697,"score_gpt":0.3240190434650105,"score_spread":0.2593635235339936,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}